SOLUTION: Call the places by the first letter of their name e.g. Arachnid by A, Feline by F and so on. The notation A->F means travelling from A to F and AF denotes distance traveled by goi

Question 40647: Call the places by the first letter of their name e.g. Arachnid by A, Feline by F and so on.
The notation A->F means travelling from A to F and AF denotes distance traveled by going from A to F or F to A.
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First: shortest(FB) = ?
F->B can be either F->T->B or F->L->B.
In first case FB is (6 + 9) = 15 miles and
in the second case FB is (11 + 12) = 23 miles.
Clearly 15 < 23. So shortest path is F->T->B and corresponding distance = 15 miles.
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Second: shortest(LT) = ?
L->T can be either L->F->T or L->B->T.
In first case LT is (11 + 6) = 17 miles and
in the second case LT is (12 + 9) = 21 miles.
Clearly 17 < 21. So shortest path is L->F->T and corresponding distance = 17 miles.
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Third: shortest(CF) = ?
C->F can be either C->L->F or C->A->T->F or C->B->T->F.
In first case CF is (3 + 11) = 14 miles,
in second case CF is (15 + 1 + 6) = 22 miles and
in third case CF is (7 + 9 + 6) = 22 miles.
Clearly 14 < 22. So shortest path is C->L->F and corresponding distance = 14 miles.
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Do the rest of the problem yourself following the procedure above.
The answers of fourth part onwards are 18, 16, 12 and 7 miles respectively.
Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!

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